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Finding the Fourth Proportional to 6,182.56, 9,265.19 and 3,410.54

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Solution

The fourth proportional to 6,182.56, 9,265.19 and 3,410.54 is: 5,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.56 : 9,265.19 = 3,410.54 : x
  2. Step 2: Convert to fraction form
    6,182.56/9,265.19 = 3,410.54/x
  3. Step 3: Cross multiply
    6,182.56x = 9,265.19 × 3,410.54
  4. Step 4: Simplify right side
    6,182.56x = 31,599,272.47
  5. Step 5: Solve for x
    x = 31,599,272.47/6,182.56
  6. Step 6: Final answer
    x = 5,111.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.